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In our system, each fuzzy set membership function,
denoted
, is represented by a trapezoidal function with five parameters (a,b,c,d,e)
corresponding to the weighted interval in the figure 2
(e represents the uncertainty). In the figure 2,
which represents a fuzzy set A,
implies that the element x does not characterize totally the fact
represented by fuzzy set A, but with a degree of membership equals
to 0.6 [8].
Moreover two characteristics of fuzzy sets are represented:
However, in our system and algorithms, we use derived characteristics
based on a parametric definition such
as
and
as shown in figure 2.
Figure 2: Representation of a fuzzy set A.